To compare clusters from different years using K-Modes, you can:

1. Compare Centroids: Calculate the similarity (e.g., Jaccard or Hamming distance) between the cluster centroids from each year.
2. Track Cluster Changes: Compare cluster sizes and feature distributions over time to identify trends.
3. Use Visualization: Apply dimensionality reduction (e.g., PCA) to visualize how clusters overlap across years.
4. Cluster Consistency: Use metrics like Adjusted Rand Index (ARI) to measure stability between clusters across years.
5. Cluster Overlap: Create a heatmap to visualize overlap between clusters across years.